#375 set `z-index: 35` on the agent page's tail pill so it'd float
above the fixed composer (z-index 30). The fix only landed because
nothing else in `.agent-main` created a stacking context. But the
pill is anchored inside `.terminal-wrap`, which carries
`backdrop-filter: blur(...) saturate(...)` for the frost effect —
and `backdrop-filter` CREATES A STACKING CONTEXT. The pill's
z-index 35 was trapped inside that context and never got to compete
with the composer's z-index 30 in the root stacking context, so the
operator still saw the badge clipped under the input box.
Same root cause on the flow page — `.flow-main .terminal-wrap`
inherits the same backdrop-filter rule.
Fix: anchor the pill in `.agent-main` / `.flow-main` instead of
`log.parentElement` (= `.terminal-wrap`). Both ancestors are
`position: absolute` with `overflow: hidden` but NO backdrop-filter
or other stacking-context creators, so the pill's z-index reaches
the root and properly floats above the composer.
Geometry unchanged — `.agent-main` / `.flow-main` and the
`.terminal-wrap` they contain both `inset: 0` the same area, so the
pill's `bottom: calc(--composer-h + 0.6em)` lands at the same y.
Also added `.flow-main .tail-pill { z-index: 35 }` (the flow page
was missing the per-page z-index bump that the agent page already
had).
`pillAnchor` is an existing opt in @hive/shared/terminal.js (the
default is `log.parentElement`); both consumers now set it explicitly.