Eglot: rework Flymake integration ahead of more changes

LSP Diagnostics are converted to Flymake diagnostics just-in-time.
Introduce helpers that allow precise control over the type of the
reports (clearing or incremental) and the inhibition of reports.

* lisp/progmodes/eglot.el
(eglot--pulled-diagnostics)
(eglot--pushed-diagnostics): Rework docstring.
(eglot--flymake-sniff-diagnostics): Rename from
eglot--flymake-diagnostics.
(eglot--diagnostics-map, cl-loop, eglot-warning)
(eglot-note, eglot-error): Move to Flymake section.
(eglot--find-buffer-visiting): New helper..
(eglot--flymake-handle-push): New helper.
(eglot--flymake-report-1, eglot--flymake-report-2)
(eglot--flymake-report-push+pulled): New helpers.
(eglot--flymake-make-diag): Take REGION arg.
(eglot--handle-notification<textDocument/PublishDiagnostics>):
Use eglot--flymake-handle-push.
(eglot--flymake-pull): Call eglot--flymake-report-push+pulled.
(eglot--flymake-report): Delete.
(eglot--flymake-reset): New helper.
(eglot--managed-mode): Use eglot--flymake-reset.
(eglot--diag-to-lsp-diag): Delete.
(eglot--signal-textDocument/didOpen)
(eglot--managed-mode): Use eglot--flymake-reset.
(eglot--maybe-activate-editing-mode): Don't reset Flymake things here.
(eglot--code-action-params): Tweak.
(eglot--code-action-bounds): Use eglot--flymake-sniff-diagnostics.
(eglot--capf-session-flush): Tweak.

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