[fix] Add back Typescript help for true Mongoose-specific options for updateOne, updateMany, etc.

[sderrow]

Summary
Addresses #14378. MongooseQueryOptions type was recently edited to include & { [other: string]: any } in order to support arbitrary options. This implementation broke Typescript support for all of the official Mongoose option properties, in the sense that there's no more auto-completion when you start typing something like "runValidators", and there's no in-line JSDoc displayed.

This is caused by the use of the Omit Typescript utility in the type for options in updateOne, updateMany, and a few others. Resolution is to redo the implementation with a build-up approach instead of using Omit.

Examples
See example and screenshots in #14378

[vkarpov15]

I think I prefer this approach over #14382, but I also want to merge the ExcludeKeys helper because Omit<> is awful. I'll merge this one as the fix, but also merge #14382 with some changes.