[10/44] Enable TS strict mode in dotcms-webcomponents

Description

Part of the strict-mode rollout epic #35932. Enable TypeScript strict mode for the dotcms-webcomponents project using typescript-strict-plugin.

• Dependency layer: 1 (0 = leaf library, 10 = top-level app)
• Internal dependents: 1 project(s)
• Rollout order: 10 / 44

All internal dependencies of dotcms-webcomponents should already be in strict mode before starting (they appear earlier in the rollout order).

Acceptance Criteria

• dotcms-webcomponents's src is added to the typescript-strict-plugin strict paths config.
• All resulting type errors are resolved (no new any; use explicit types).
• // @ts-strict-ignore is used only where unavoidable, each with a follow-up TODO.
• yarn nx run dotcms-webcomponents:lint passes (and :build / :test where applicable).
• npx tsc-strict passes for dotcms-webcomponents.
• yarn nx affected -t build does not break dependents.

Priority

Medium

Additional Context

One project in the bottom-up rollout tracked by epic #35932. Depends on the bootstrap task being merged and on lower-layer projects already being strict.

Start with the dotcms-webcomponents src and locate the typescript-strict-plugin strict paths configuration, then run npx tsc-strict for the project to enumerate errors. Resolve the resulting type errors with explicit types, using // @ts-strict-ignore only with follow-up TODOs, and verify lint, build, test, affected builds, and tsc-strict pass.