docs: replace deprecated --ai flag with --integration in all documentation (#2359)

* docs: replace deprecated --ai flag with --integration in all documentation

Replace all user-facing --ai, --ai-skills, and --ai-commands-dir references
with their modern equivalents:

- --ai <agent> → --integration <agent>
- --ai-skills → --integration-options="--skills"
- --ai-commands-dir <dir> → --integration generic --integration-options="--commands-dir <dir>"

Updated files:
- README.md (~17 occurrences)
- docs/installation.md (~8 occurrences)
- docs/upgrade.md (~11 occurrences)
- docs/local-development.md (~5 occurrences)
- CONTRIBUTING.md (1 occurrence)
- extensions/EXTENSION-USER-GUIDE.md (1 occurrence)
- src/specify_cli/__init__.py (docstring examples and error messages)

Left unchanged:
- CHANGELOG.md (historical record)
- Test files (intentionally exercise deprecated flag path)
- CLI flag implementation (backward compatibility)

Closes #2358

* docs: address review feedback on pre-existing issues

- Fix duplicate copilot example in README.md (replace with codex)
- Fix invalid gemini --integration-options="--skills" example (gemini
  does not support --skills)
- Update generic integration comment from 'Unsupported agent' to
  'Bring your own agent; requires --commands-dir'
- Clarify EXTENSION-USER-GUIDE.md: skills auto-register for
  skills-based integrations, not only with --integration-options

* docs: replace bare 'AI agent' / 'AI assistant' with 'coding agent' throughout

Full sweep across all documentation and user-facing CLI messages to
align terminology. Bare references like 'AI agent', 'AI assistant',
and 'AI Agent' are replaced with 'coding agent' or 'coding agent
integration' as appropriate.

Intentionally left unchanged:
- 'AI coding agent' (already correct expanded form)
- Deprecated --ai flag help text and error messages (describes the
  deprecated flag itself)
- Community extension descriptions (external project text)
- 'generated by an AI' in CONTRIBUTING.md (general AI, not agent)

* docs: address review — remove deprecated --offline, qualify --skills scope

- Remove --offline from docstring examples (deprecated no-op)
- Remove --offline from CONTRIBUTING.md testing example
- Replace --offline instructions in docs/installation.md with note that
  bundled assets are used by default
- Qualify --integration-options="--skills" in README.md to note it only
  applies to integrations that support skills mode

CONTRIBUTING.md

@@ -94,7 +94,7 @@ uv pip install -e .
 # Ensure the `specify` binary in this environment points at your working tree so the agent runs the branch you're testing.
 
 # Initialize a test project using your local changes
-uv run specify init <temp-dir>/speckit-test --ai <agent> --offline
+uv run specify init <temp-dir>/speckit-test --integration <agent>
 cd <temp-dir>/speckit-test
 
 # Open in your agent
@@ -102,7 +102,7 @@ cd <temp-dir>/speckit-test
 
 #### Manual testing process
 
-Any change that affects a slash command's behavior requires manually testing that command through an AI agent and submitting results with the PR.
+Any change that affects a slash command's behavior requires manually testing that command through a coding agent and submitting results with the PR.
 
 1. **Identify affected commands** — use the [prompt below](#determining-which-tests-to-run) to have your agent analyze your changed files and determine which commands need testing.
 2. **Set up a test project** — scaffold from your local branch (see [Testing setup](#testing-setup)).