[FEATURE]: Show session title in bottom/footer focus area #15344

Feature hasn't been suggested before.

• I have verified this feature I'm about to request hasn't been suggested before.

Describe the enhancement you want to request

Display the current session title in the parts of the UI where users' eyes already live: the bottom row and the prompt input bar. When the sidebar is present, render the title in its footer. When the sidebar is hidden, place the title toward the right-hand side of the prompt input row so it sits in the user's lower-right focus zone.

Motivation

When juggling multiple sessions in different terminal tabs, focus stays on the left (session window) and bottom (prompt input). The existing header title sits top-right, outside that focal area, making it easy to issue prompts to the wrong session.

Related issues (e.g., #4539 for terminal window titles) don't cover showing the title inside the prompt/input row, so this remains unsolved.

Proposed UX

Sidebar open: The footer row (currently showing status text) displays the session title alongside the status:

┌─ Sidebar items … ───────┐
│ …                       │
│─────────────────────────│
│ Session: Fix stuck webhooks • Status: idle
└─────────────────────────┘

Sidebar hidden: The prompt input row includes the session title on the right side, near the send button / status indicator:

[ prompt input ………………………………………………………… ]     Session: Fix stuck webhooks

Ideally both locations reuse the same component so the title stays synced regardless of layout. A settings toggle ("Show session title in bottom row") could come later, but default-on keeps things safe.

Alternatives considered

• Terminal/tab titles ([FEATURE]: Add an option to set the terminal window title #4539) still require switching gaze up to the tab bar and often get truncated.
• Relying solely on the header title leaves the same mis-prompt hazard because it isn't where users look while typing.

Screenshots