fix(quickstart): resolve host-qualified tool names in callServerTool

[annatchijova]

What

examples/quickstart's callServerTool call hardcodes the literal tool name "get-time" instead of recovering it from getHostContext().toolInfo. That works when the client connects 1:1 to a single server, but breaks under any host that qualifies tool names to avoid collisions across aggregated servers (e.g. pdf-server-get-time) — the widget still renders (the entry call that invoked it went out qualified, correctly, by the host), but its own follow-up callServerTool calls go out under the bare name and fail to resolve.

Why this file

@jcollas's #753 already diagnosed the root cause and proposed the fix pattern (resolveToolName, recovering the host-applied prefix from getHostContext().toolInfo.tool.name), and listed 15 affected examples. This PR applies that pattern to quickstart specifically, since docs/quickstart.md embeds it verbatim and it's the example most third-party app authors fork first. The other 14 examples (basic-server-*, pdf-server, debug-server, wiki-explorer-server, lazy-auth-server, cohort-heatmap-server, customer-segmentation-server, system-monitor-server, integration-server) share the identical shape and are left for a follow-up rather than bundled here.

Changes

• examples/quickstart/src/mcp-app.ts: add resolveToolName() and use it for the callServerTool call, falling back to the bare name on hosts that don't rewrite names.
• docs/quickstart.md: regenerated via npm run sync:snippets — no hand edits, stays byte-identical to the source file.

Testing

• tsc --noEmit in examples/quickstart — clean.
• npm run build (the example's real build) — succeeds, output unchanged in size (211.83 kB / 54.23 kB gzip) from before the fix.
• prettier --check on both changed files — passes.
• No existing test asserts on the literal tool-name string (tests/e2e/servers.spec.ts checks the DOM result, not the call payload), so this is a behavior addition rather than a change to covered behavior; happy to add a regression test if there's a preferred place for one.

Closes part of #753