Replace 'any' with correct types in typescript code

[caponetto]

What changes were proposed in this pull request?

Cherry-picked from ODH Elyra

While migrating the extensions to JupyterLab v4, we faced issues related to type incompatibility after library upgrades. Many of these issues were identified only at runtime due to the extensive usage of any throughout the code instead of the correct types. So, this PR reviews the usage of any and makes appropriate changes to avoid it as much as possible. Also, the build now throws an error if any is used without a reason. Given the structure of the code that has been built on top of any, the changes on this PR are not perfect, but, hopefully, they will provide more protection to the code on future fixes, upgrades, and new features.

How was this pull request tested?

Through CI runs and manual tests.

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