feat(web): draw the sidebar's scrollbar only under the pointer

The session list overflows after a handful of sessions, and its scrollbar
was drawn permanently in a column that is at rest most of the time.

SidebarRoot now tracks the pointer over the whole column and rebinds
ui-theme's scrollbar indirection pair to `transparent` while it is
outside, keeping the thumb for 2s after the pointer leaves so it does not
blink out on the way past. Rebinding colour leaves the list's
`scrollbar-gutter: stable` reservation in force, so revealing the bar
moves no row.

ui-theme's gate now states the widened contract: a rebind targets an -l2
token pair or `transparent`, and nothing else.

.agents/notes/implemented/bug-fix/2026-07-28-themed-scrollbars-and-reserved-gutter.md

@@ -20,7 +20,7 @@ The rules sit on `body`, not `html`. `design-platform.css` declares the `--dsw-a
 
 The two renderings are mutually exclusive, and the exclusion is enforced rather than assumed. A non-`auto` `scrollbar-width` or `scrollbar-color` makes Chromium and Safari discard every `::-webkit-scrollbar*` rule for that element, `::-webkit-scrollbar-thumb:hover` included. Declaring both unconditionally therefore leaves the hover token rendering nowhere at all: the engines that implement the hover pseudo-element are exactly the ones the standard properties silence, and Firefox has no hover pseudo-element to fall back on. The standard properties consequently sit inside `@supports not selector(::-webkit-scrollbar)`, which is true only where the pseudo-element is unimplemented, so Firefox takes the standard path and WebKit-based engines take the pseudo-element path. The WebKit rules are not gated in turn: an engine without those pseudo-elements drops them as unknown selectors, so a gate would only restate what selector matching already does. An engine too old for the `selector()` function makes the condition invalid, which evaluates false and selects the pseudo-element path — the correct side for the pre-16.4 Safari that is the realistic case for that reading.
 
-Both paths read one indirection pair, `--dsh-scrollbar-thumb` and `--dsh-scrollbar-thumb-hover`, bound on `body` to the l1 (base-surface) tokens. **This is the rebinding contract, and it is the part the CSS alone does not state**: an elevated surface sets `--dsh-scrollbar-thumb: var(--dsw-alias-scrollbar-bg-l2)` and `--dsh-scrollbar-thumb-hover: var(--dsw-alias-scrollbar-hover-l2)` on its own container, and that one rebind reaches the standard properties and the WebKit pseudo-elements together. The pair is rebound as a pair; rebinding the resting thumb alone leaves the hover state on the base-surface token. The mechanically discoverable subset is owned by `packages/client/ui-theme/tests/scrollbar-styles.spec.ts`: any sheet that both scrolls and paints an elevated surface must rebind, so this note no longer maintains a complete surface inventory. Most declare the pair on the elevated card rather than on the scrolling descendant, because elevation belongs to the surface and custom properties inherit to whichever child actually scrolls.
+Both paths read one indirection pair, `--dsh-scrollbar-thumb` and `--dsh-scrollbar-thumb-hover`, bound on `body` to the l1 (base-surface) tokens. **This is the rebinding contract, and it is the part the CSS alone does not state**: an elevated surface sets `--dsh-scrollbar-thumb: var(--dsw-alias-scrollbar-bg-l2)` and `--dsh-scrollbar-thumb-hover: var(--dsw-alias-scrollbar-hover-l2)` on its own container, and that one rebind reaches the standard properties and the WebKit pseudo-elements together. The pair is rebound as a pair; rebinding the resting thumb alone leaves the hover state on the base-surface token. `transparent` is the pair's other legal target, added when the sidebar's bars [started following the pointer](../feature/2026-08-04-pointer-revealed-sidebar-scrollbars.md); the gate below admits those two and nothing else. The mechanically discoverable subset is owned by `packages/client/ui-theme/tests/scrollbar-styles.spec.ts`: any sheet that both scrolls and paints an elevated surface must rebind, so this note no longer maintains a complete surface inventory. Most declare the pair on the elevated card rather than on the scrolling descendant, because elevation belongs to the surface and custom properties inherit to whichever child actually scrolls.
 
 Four surfaces — `Menu`, `InputBar`, `QuestionComposer`, and `TodoPanel` — were missed in the first implementation and found in review, which is why the per-sheet rebinding contract is checked mechanically rather than by inspection.
 
@@ -54,7 +54,7 @@ The gutter and the sheet's `::-webkit-scrollbar` width are jointly necessary aga
 
 ## Consequences
 
-- Every scroll container in the client draws the themed thumb: `rgb(229, 229, 229)` on a light base surface, `rgb(60, 60, 61)` on a dark one, and `rgb(84, 85, 87)` for a dark elevated surface that rebinds to the l2 pair.
+- Every scroll container in the client draws the themed thumb: `rgb(229, 229, 229)` on a light base surface, `rgb(60, 60, 61)` on a dark one, and `rgb(84, 85, 87)` for a dark elevated surface that rebinds to the l2 pair. The sidebar's regions draw theirs only under the pointer, through the same indirection.
 - The two renderings are separately specified, so a change to the thumb's geometry or hover behavior has to be made twice — once in `scrollbar-width`/`scrollbar-color`, once in the pseudo-elements. Routing both through the indirection pair confines that duplication to the properties Firefox and WebKit do not share.
 - The hover tokens (`--dsw-alias-scrollbar-hover-l1`/`-l2`) render only on the pseudo-element path. Firefox states one thumb color through `scrollbar-color` and derives its own hover treatment, so a design change to the hover colors is visible in Chromium and Safari and not in Firefox. This is a limit of `scrollbar-color`, not of the sheet.
 - `body *` matches every element, for two properties whose effect the user agent already limits to elements that actually scroll. The cost is a broad selector; the alternative was a rebinding contract that does not work.