[FEATURE] Claude Tag: support Bitbucket access

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

Related issue: https://github.com/anthropics/claude-code/issues/38179. That issue is about Claude Code, this issue is about Claude Tag.

Claude Tag can take a coding task from Slack, clone a repo into its session sandbox, make and test changes, and open a pull request. The docs only cover this for GitHub (through the Claude GitHub App) and GitLab (through a service-account token). Cloud sessions require GitHub for cloning and PR creation, and Bitbucket repos can only be bundled in without push-back. Teams on Bitbucket can't use Claude Tag's code workflows: bug-fix PRs, following CI, or reference kits like anthropics/oncall-kit that expect Claude to read a repo and propose fixes as PRs.

Proposed Solution

Add Bitbucket as a repository connection for Claude Tag Access bundles, at parity with GitLab or better:

• Grant specific repositories or projects to a bundle, using a Bitbucket service account, workspace access token, or app installation.
• Clone into session sandboxes, then push branches back and open pull requests authored by that identity.
• Read Bitbucket Pipelines status and logs so Claude can follow a PR's CI to green.
• Load CLAUDE.md and .claude/skills/ from cloned repos, the same as GitHub.

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

Other

Use Case Example

_No response_

Additional Context

Claude Tag already connects to Jira and Confluence, so Bitbucket is the missing piece for those teams.