[Task] Add Wasm examples to GitHub Actions

[cycraig]

Description

Add runnable examples to the GitHub Actions CI pipeline.

Motivation

While the Rust examples are strongly-typed and compiled in the build-and-test pipeline, giving us assurance that they at least compile and therefore likely run, the Wasm browser and node examples are not parsed at all. This leads to silent breakages when any exported symbols change that can go unnoticed for some time.

A periodic task similar to the audit task might be appropriate as the examples can sometimes fail intermittently and take a long time to execute. Adding them to the build-and-test task would detect breakages more quickly and identify the exact set of changes responsible, but likely result in more false-positives along with slowing down the CI overall.

Maybe add the Wasm README.md examples (#342) to the same task once they are runnable?

Resources

• related to [Task] Update Wasm README.md examples #342

To-do list

• Add GitHub Actions task to build and run examples - PR Add Wasm examples to CI #345

Change checklist

• The feature or fix is implemented in Rust and across all bindings whereas possible.
• The feature or fix has sufficient testing coverage
• All tests and examples build and run locally as expected
• Every piece of code has been document according to the documentation guidelines.
• If conceptual documentation (mdbook) and examples highlighting the feature exist, they are properly updated.
• If the feature is not currently documented, a documentation task Issue has been opened to address this.