<human>: The company I am with is having a hard time financially and there have been a lot of changes recently, which lead my boss to quit. When he told me he gave his notice, I decided it would be in my best interest to explore my options. I ended up finding something I'm really excited about, and today I received the offer. 

It's more money, better benefits, more paid time off, and a shorter work week and within walking distance. It's perfect.

Due to the recent changes at my current job, a manager from another branch has been filling in. Two days ago the new job told me upon checking references I would receive an offer. I knew my references were good so I was confident in getting an offer. While speaking with this fill in manager, it came up that I was expecting an offer. He asked that I don't accept right away and I give him a chance to counter offer. He literally begged me not to leave, as my position is crucial in keeping business running smoothly. 

Due to the financial position of my current employer among other issues, I've decided the new job is a better fit even if my counter offer is for more money. 

I emailed the manager and told him I've received the offer and asked him to contact me regarding how he would like to proceed. I feel it's more of a courtesy to give the chance to counter offer, even though I know I won't be accepting. 

My question is, is it appropriate to let the recruiter at the new job know that I'm going to review a counter offer before officially accepting the job offer? I have until Tuesday afternoon to respond, but I would like to send a quick email today acknowledging I've received the offer without stalling the process until the last minute. My other option is to accept and sign the offer, and give my notice tomorrow. I don't want to burn any bridges on either end and keep the transition as smooth as possible.

Give me a shortened version of the text
<bot>: I have a job offer I want to accept, my current employer wants a chance to counter offer even though I know I won't accept. Do I accept the new position now and give my notice after the counter offer is given?