Fake Hands-on Experience in Resume?

I've 3YOE in Manual testing and want to switch to another company with Automation Tester role. I've learnt Selenium with TestNG framework using Java and have also created a few personal projects. Apart from this, I've learnt basic postman for API testing too, and planning to learn a few other things like DSA, Cucumber, SQL.

So my question is:

Should I lie in the resume by showing that I've 3YOE in automation? As it's difficult to be shortlisted for interview by mentioning only Manual testing experience in Resume because every company is expecting hands on experience.

Or should I mention only Manual testing experience (the truth) only, with no hands on experience in things that I've learnt? Getting shortlisted is an very difficult in this way, though.

Any thoughts?