Do not sign anything more from your current employer for any reason. You’re doing well there.
Block them all on LinkedIn and social media.
Do not share any further information about your future plans, even “not the same industry”, with them. “That’s none of your business” is answer enough, and they have been unprofessional enough you’d be justified in not serving the rest of your notice IMO.
Non compete clauses are only very narrowly enforceable in CanadaReview whatever noncompete you've already signed, but it likely doesn't matter (- https://www.canadaemploymenthumanrightslaw.com/2018/02/employees-non-compete-agreement-enforceable/noncompete clauses are only very narrowly enforceable in Canada) and and their claim "you can't do automation" would not stand up. However
However, you are right to avoid conflict by not updating your LinkedIn/adding connections from your new company for a while (there’slike your probation period or 3 months whichever is longest - there’s no reason to do it quickly really). I wouldn't delete your social media over this - it's yours and you have a right to use it. It's extremely likely they'll forget about this the week after you leave and they know they can't do anything about it anyway. If eventually they find out where you went, it is super unlikely they’ll really do anything and usually your new company will be happy to send them a lawyer letter telling them to get bent.
If they continue to harass you about this, you should keep records of each interaction (and make it clear you are) and potentially consult an employment lawyer to send them a cease & desist letter if they persist.
You're also within your rights to slag them on Glassdoor or whatever is more popular up there in the frozen North. "This may be the last place you work because they'll threaten you with noncompetes over any new job in any industry" would certainly give me pause before dealing with a company.