I'm not 100% sure I understand what you're looking for from the way you've worded your question.
I want to get out of web development and my current job.
Which is it? It may very well be both- you want to get out of web development and your current job. But it might be that you just want out of your current job.
Assuming that your current job title is something like 'Web Developer'... web technology is constantly changing- the drive across most industries for being able to do more, more independently/ remotely is constantly growing (especially now, with many people around the world being required to work from home due to the coronavirus pandemic). I would expect that in this line of work, you are going to be expected to be able to jump on board with new technologies/ tools as and when required (either by your company, as they choose to use a particular technology or tool, or by the industry, as newer technologies become standard and exisiting technologies evolve).
Do you want to stay in web development? If so, why? If not, why not?
Are there particular technologies/ tools you enjoy using? If so, you could perhaps look for roles that specifically require those skills or similar skills? But keep in mind that even those tools and technologies will change over the years.
If you want to get out of web development, work out what it is you want to do instead, and then pursue getting experience in that.
It does sound like your company is keen to keep growing the knowledge base of its employees (which is not in and of itself a bad thing- though granted, changing technologies just for the sake of it is not the best practice). If they are willing to spend the time and money training you in the new technologies they require you to use- you get to expand your knowledge base and skillset- definitely a positive, and something you can use to promote yourself when applying for other jobs in the future.
If you want to stay in web development, but don't want to be constantly learning new technologies, maybe look at bigger companies with large web development projects- as larger projects are less likely to 'change with the wind' due to the vast cost that would be associated with it.
For example- I work for a large company, who are involved with a number of public sector projects, and recently joined a team working on a project which is about to undergo a full tech-refresh, due to the existing technology stack being about to become unsupported. The 'new' technology that they are going to use to re-write the web solution is WPF...