refactor(cli): route doctor's SDK access through the shared workspace-client facade

[MarioCadenas]

Follows the workspace-client relocation (in the base feat/registry-cli): the SDK facade now lives in packages/shared/src/workspace-client, reachable from both appkit and the CLI in shared. This routes the doctor command's SDK access through it, removing the dynamic-import workaround it needed when shared was SDK-free.

Changes

• doctor/databricks-client.ts: getServiceClient now uses createWorkspaceClient({profile}).toLegacyWorkspaceClient(); getProfileHost uses the facade's re-exported loadConfigFile. Drops both biome-ignore lint/style/noRestrictedImports suppressions and the await import("@databricks/sdk-experimental") dance.
• workspace-client facade: adds loadConfigFile to the re-exports (legacy.ts + index.ts).
• packages/appkit/package.json: removes the now-unused direct @databricks/sdk-experimental dependency. appkit no longer imports the SDK directly (all access is via shared/workspace-client); it still ships to consumers because dist-appkit.ts merges shared's deps into the published tarball.

Notes

• SdkNotInstalledError is kept exported (no longer thrown — shared now hard-depends on the SDK) so checks.ts's SDK_NOT_INSTALLED diagnostic branch and the existing tests keep compiling. That branch is now effectively dead; removing it is a deliberate separate cleanup.
• The Lakebase probe (getLakebasePool) keeps its dynamic @databricks/appkit import — that's an optional peer shared doesn't depend on, unchanged.

Verification

• shared + appkit typecheck clean
• 128 doctor tests pass
• biome clean (no more suppressions)

Based on feat/registry-cli; will retarget to main once that merges.

This pull request and its description were written by Isaac.

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📦 Bundle size report

Compared against bundle-size-baseline.json (main).

@databricks/appkit

npm tarball (packed): 840 KB (+171 B) — gzipped download (dist + bin; excludes release-only docs/NOTICE).

dist	raw	gzip
JS (runtime)	869 KB (-553 B)	303 KB (-89 B)
Type declarations	315 KB (+379 B)	109 KB (+221 B)
Source maps	1.7 MB (+326 B)	566 KB (+137 B)
Other	11 KB	3.7 KB
Total	2.9 MB (+152 B)	982 KB (+269 B)

Per-entry composition (own code — deps external (as shipped))

Entry	Initial (gz)	Lazy (gz)	Total (gz)	node_modules (min)	Own code (min)
.	88 KB (+18 B)	2.5 KB	91 KB (+18 B)	external	288 KB (+48 B)
./beta	49 KB (+7 B)	456 B (-2 B)	49 KB (+5 B)	external	143 KB (+48 B)
./type-generator	21 KB (+41 B)	0 B	21 KB (+41 B)	external	61 KB (+48 B)

Chunks:

Entry	Chunk	Load	Size (gz)
.	index.js	initial	84 KB
.	utils.js	initial	4.0 KB
.	remote-tunnel-manager.js	lazy	2.5 KB
./beta	beta.js	initial	33 KB
./beta	stream-manager.js	initial	5.8 KB
./beta	wide-event-emitter.js	initial	3.2 KB
./beta	databricks.js	initial	3.0 KB
./beta	configuration.js	initial	2.1 KB
./beta	service-context.js	initial	1.3 KB
./beta	client.js	initial	434 B
./beta	client-options.js	initial	219 B
./beta	supervisor-api.js	lazy	192 B
./beta	databricks.js	lazy	141 B
./beta	index.js	lazy	123 B
./type-generator	index.js	initial	21 KB

@databricks/appkit-ui

npm tarball (packed): 342 KB (+351 B) — gzipped download (dist + bin; excludes release-only docs/NOTICE).

dist	raw	gzip
JS (runtime)	390 KB	130 KB
Type declarations	228 KB (+412 B)	83 KB (+360 B)
Source maps	753 KB	248 KB
CSS	16 KB	3.3 KB
Total	1.4 MB (+412 B)	465 KB (+360 B)

Per-entry composition (consumer bundle — deps bundled, peerDeps external)

Entry	Initial (gz)	Lazy (gz)	Total (gz)	node_modules (min)	Own code (min)
./js	5.3 KB	49 KB	55 KB	208 KB	14 KB
./js/beta	20 B	0 B	20 B	0 B	0 B
./react	432 KB	49 KB	480 KB	1.3 MB	175 KB
./react/beta	1.0 KB	0 B	1.0 KB	0 B	1.9 KB

Chunks:

Entry	Chunk	Load	Size (gz)
./js	index.js	initial	5.2 KB
./js	chunk	initial	120 B
./js	apache-arrow	lazy	49 KB
./js/beta	beta.js	initial	20 B
./react	index.js	initial	430 KB
./react	tslib	initial	2.1 KB
./react	apache-arrow	lazy	49 KB
./react/beta	beta.js	initial	1.0 KB

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Scaffolds a new app from this PR's SDK build. Run it in any folder (requires the GitHub CLI — gh auth login — and the Databricks CLI):

gh run download 31782698860 -R databricks/appkit -n appkit-template-0.60.0-pr.3f21656-feat-doctor-workspace-client-531 -D appkit-pr-531 \
  && unzip -o "appkit-pr-531/appkit-template-0.60.0-pr.3f21656-feat-doctor-workspace-client-531.zip" -d "appkit-pr-531" \
  && databricks apps init --template "appkit-pr-531"

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