While this might solve the problem for the Google search engine it is but a patch to a bigger problem. Instead of applying this patch on each and every device you happen to use it is much more effective to refrain from using these search engines directly by using a meta-search engine like Searx [1]. This not only solves these obnoxious attempts at leaching a bit more data from you, it has an even bigger advantage: it shows search results from multiple engines, ranked in the way those engines present the results to an anonymous user. This often reveals interesting patterns by showing just how those who run these search engines either promote or demote relevant results for a given search. Google clearly prefers to show results from corporate media and established actors (e.g. Wikipedia) above those from non-affiliated sites, DuckDuckGo gives far more 'organic' results.
[1] https://searx.me
Btw the list of public nodes is here: https://searx.space/
What is the difference between SearXNG [0] ("next generation," i.e. the one you just linked) vs. SearX [1]? NG claims to be a fork, but it's not clear why? The main SearX has recent development activity.