Composer provider icon design

Purpose and boundaries

Add a presentation adornment to the existing session model picker, reusing agent identity and logo infrastructure. No persistence or backend changes are needed. This complements the ACP summary without changing its textual summary rules.

Components and data flow

apps/web/components/task/model-selector.tsx: resolve the current session's nonempty string agent_profile_snapshot.agent_name, then map snapshot agent_id through agentProfiles.items to its canonical agent_name for dynamic routes. Fall back to the logical profile only when neither resolves. Snapshot identity survives deleted/edited profiles. Never use a database UUID or infer identity from model text.
Add an optional showAgentIcon prop to ModelSelector, default false. Enable it in both chat-input-toolbar-desktop.tsx and chat-input-toolbar-mobile.tsx so other consumers do not change accidentally.
apps/web/components/model-config-selector.tsx: accept an optional providerIcon: ReactNode, thread it into ModelConfigSelectorTrigger, and render it before the existing truncated text and beside the existing localized Model heading in the popover. Leave it absent by default.
Use AgentLogo at 14px inside a nonshrinking, decorative aria-hidden wrapper. Reuse existing spacing tokens and theme-aware logo fetching. No new tooltip or nested interactive element. Preserve the existing accessible button name.

Failure behavior

Unknown identity omits the icon. Known identity uses the existing AgentLogo terminal placeholder during loading and on failure. React updates the adornment from the current session identity, without retaining another session's provider.

Desktop and phone

The nearest shipped mobile exemplar is the current chat toolbar's ModelSelector inside chat-input-toolbar-mobile.tsx, with its max-w-[56vw] bounded trigger. Keep the existing picker/popover and phone toolbar composition. Add only the leading glyph. Preserve 28px fine-pointer trigger height and coarse-pointer 44px minimums. Text yields width before either glyph. No new scroll region is added.

Requirement mapping and evidence

Criteria	Design / evidence
AC-UI-COMPOSER-PROVIDER-ICON-001.1	Session identity resolution; unit coverage for snapshot priority, profile fallback, session changes and same-agent model changes
AC-UI-COMPOSER-PROVIDER-ICON-001.2	Unknown identity and existing logo fallback; component tests and failed-logo browser check
AC-UI-COMPOSER-PROVIDER-ICON-001.3	Optional leading slot; desktop and mobile rendered checks for truncation, hit area, keyboard/touch selection and overflow

Public agent/profile documentation explains the CLI logo in both picker states. No new user-facing copy is planned; any copy introduced during implementation must follow localization rules.

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