resolve #20495

• new buttons in action menu / underboard launch the dialog.
• you don't need permission or authentication to run it.
• with permission, you may publish game or chapter analysis to the server.
• ceval analyses the mainline in a tight loop. no page interaction is allowed while it runs.
• the dialog offers 2 static presets, standard and broadcast mode. standard is 1,000,000 nodes, broadcast is 5,000,000 nodes per move.
• custom mode allows timed search with the user's engine settings, so realistically 10,000,000+ nodes per move and up.
• only analysis from engines with staticAnalysis capability (assigned in engines.ts) can be published.
• any number of local analyses can be run at any strength at any time, but only the most recent is kept.
• published server evals may only get stronger. i.e. you must analyse at 5,000,000 nodes to overwrite a 1,000,000 node one.
• study contributors must enable REC to publish.
• mods with hunter perms can remove a game analysis.
• learn from your mistakes and round training are now available in Tools -> Analysis board (if there's a local analysis).

caveats:

• external engine will not work until the protocol is extended to send bestmove on completion. this means a new lila-engine broker (no problem) and probably an updated provider harness on device (problem).
• fishnet analyses on study chapters performed PRIOR to this PR lack "comp" hints in their tree data, so they cannot be cleanly overwritten. if a user tries to publish a stronger one on top, they are warned to clean up any old engine lines before uploading. this does not apply to fishnet analyses created after this PR.
• although newly analyzed chapter nodes do get that "comp" hint, i do not give owners & admins a way to delete published analysis from a chapter. i just use the hint for merge.