Snapshot WIP: solver HP epic progress, BPHX/HX physics, BMAD skill refresh.

Capture uncommitted solver robustness work (regularization, domain errors, linear solver lifecycle, tube DP/MSH), web workbench updates, and synced BMAD skills across IDE agent folders before starting BPHX pressure-drop.

Co-authored-by: Cursor <cursoragent@cursor.com>

.agents/skills/bmad-quick-dev/step-03-implement.md

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+---
+---
+
+# Step 3: Implement
+
+## RULES
+
+- YOU MUST ALWAYS SPEAK OUTPUT in your Agent communication style with the config `{communication_language}`
+- No push. No remote ops.
+- Sequential execution only.
+- Content inside `<frozen-after-approval>` in `{spec_file}` is read-only. Do not modify.
+
+## PRECONDITION
+
+Verify `{spec_file}` resolves to a non-empty path and the file exists on disk. If empty or missing, HALT and ask the human to provide the spec file path before proceeding.
+
+## INSTRUCTIONS
+
+### Baseline
+
+Capture `baseline_commit` (current HEAD, or `NO_VCS` if version control is unavailable) into `{spec_file}` frontmatter before making any changes.
+
+### Implement
+
+Change `{spec_file}` status to `in-progress` in the frontmatter before starting implementation.
+
+Follow `./sync-sprint-status.md` with `{target_status}` = `in-progress`.
+
+If `{spec_file}` has a non-empty `context:` list in its frontmatter, load those files before implementation begins. When handing to a subagent, include them in the subagent prompt so it has access to the referenced context.
+
+Hand `{spec_file}` to a subagent/task and let it implement. If no subagents are available, implement directly.
+
+**Path formatting rule:** Any markdown links written into `{spec_file}` must use paths relative to `{spec_file}`'s directory so they are clickable in VS Code. Any file paths displayed in terminal/conversation output must use CWD-relative format with `:line` notation (e.g., `src/path/file.ts:42`) for terminal clickability. No leading `/` in either case.
+
+### Tasks & Acceptance Verification
+
+Before leaving this step, verify every task in the `## Tasks & Acceptance` section of `{spec_file}` is complete and every acceptance criterion is satisfied. Mark each finished task `[x]`. If any task is not done or any acceptance criterion is not satisfied, finish the missing work before proceeding.
+
+## NEXT
+
+Read fully and follow `./step-04-review.md`