Add UI for AssetPartitionDagRun

[guan404ming]

Related Issue

#59001
#61219

Why

We have AssetPartitionDagRun in db and in api but not in ui

How

• backend
  • all_pending_partitions
  • pending_partition_detail
  • pending_partitions
• frontend
  • PartitionAssetKeyDagRun/ (detail with ReactFlow graph + tabs)
  • PartitionAssetKeyDagRuns/ (global list)
  • Dag/PendingPartitions/ (per-dag list)

Screen.Recording.2026-02-03.at.1.05.10.PM.mov

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Was generative AI tooling used to co-author this PR?

• Yes (please specify the tool below)
  Claude Code with Opus 4.5

---

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• For fundamental code changes, an Airflow Improvement Proposal (AIP) is needed.
• When adding dependency, check compliance with the ASF 3rd Party License Policy.
• For significant user-facing changes create newsfragment: {pr_number}.significant.rst or {issue_number}.significant.rst, in airflow-core/newsfragments.

[guan404ming]

Weird. I didn't close it. Let's me reopen it.