[Fix] Task Info preserves each task's inference provider

[roomote-roomote]

Opened on behalf of Matt Rubens. Follow up by mentioning @roomote-roomote, in the web UI, or in Slack.

What changed

Tasks now snapshot their resolved inference provider at launch. Task Info reads that immutable snapshot, so ChatGPT subscription-backed tasks remain labeled ChatGPT (subscription) even if deployment credentials later change.

The sidebar retains model-prefix labels for legacy tasks recorded with the former generic opencode provider value.

Why this change was made

The previous implementation inferred the label from the deployment's current ChatGPT connection state, which could relabel historical tasks incorrectly after a provider connection changed.

Impact

Task Info accurately reflects the provider used for new tasks across later configuration changes, while preserving sensible labels for existing tasks.

[roomote-roomote]

All issues addressed. See task

• apps/web/src/app/(sandbox)/task/[taskId]/sidebar-panels/TaskInfoPanel.tsx:204-207 Derive the displayed provider from immutable task/run data rather than the deployment's current chatgptConnected state. Addressed by snapshotting the resolved provider at task launch and preserving the legacy model-prefix fallback.

[roomote-roomote]

Fixed in b36e390: fresh tasks now persist the resolved provider at launch, and Task Info uses that immutable snapshot. Legacy opencode task records retain the prior model-prefix fallback. Focused Task Info tests and both changed-workspace type checks pass.