Offer accepted. Can I bid on another?

[HelenFi]

My partner and I have had an offer accepted on a property.

We went to see another property a few days later (as this was already scheduled) and also really liked this property. We arranged a second viewing and still liked it.

Both properties are lovely and have equal (but different) pros and cons.

The second property is listed slightly over budget and we have no idea how open the vendor would be to offers. I think we would both really like to know if an offer would be accepted for this house because then it feels like we could properly make a decision.

Are you allowed to offer on another property when you have already had an offer accepted? If we do make an offer, are we honest about the fact that we have already had an offer accepted (presumably not)? How would others go about making an offer on this?

If relevant, we currently live in a shared ownership house and have a buyer. If they were to pull out for whatever reason we would likely sell again very quickly as they are in high demand in our area.

We do love the house as it happens. The issue is that it is out of area for us so there would be other additional costs living there, we would need two cars, further away from my partner's older child.

No memo of sale issued as yet (early next week likely). I've had quotes for surveys but not arranged.

All very well taking the moral high ground but another buyer could come along and gazump ops offer. Just do it but don't dither.

We have started looking at others but we have waited 6 months since going STC and the seller still hasn't done probate. The sale is starting to collapse through no fault of ours.

If its the same EA they are going to think you are taking the piss. They have to put forward all offers legally but their job is also to advise the seller so they will tell them you pull tricks like this and aren't reliable.