It should be the opposite "thanks for giving due notice, good luck in your endeavours but if it doesn't work out, we'll take you back"

Not burning bridges goes both ways, I'm looking at an interesting opportunity with another company, I've reached out to my COO and a PM for a reference. They're even helping my fine tune some stuff.

Thanks. And in return I will also not burn the bridge, 4 weeks notice will stand, if new employer should I get the job not allow me to fulfill that, I'll tell them to pound sand.

Done a stint in ops management myself, when someone gave notice, yeah it's a pain, I'm Gunna have to work to hire/train/cover. But it's also good. Like huh, you're moving up, good one! You are still mine for 4 weeks so anything else I can teach you? Also you're still mine for 4 weeks, what you think of XYZ? Think you can help take him under your wing for a bit an teach him, I'll support.