New baby

I had my 2nd baby almost a month ago and my 2 year old is not a big fan. We did things beforehand that are advised, such as reading books, had a present from the baby, had the baby in the Moses basket during introduction (rather than hold him) etc. On the day of meeting, my little boy acted exactly as I expected - he looked in the Moses basket and couldn’t have cared less, just moved immediately on to play with his toys. Since then, we’ve had very little progress in terms of any acknowledgement of the baby. He will occasionally say “Ollie’s sleeping” but other than that, he won’t have anything to do with him. He refuses completely to touch him in any way and doesn’t want to help (even though he loves helping with any other task). Over the last week, he seems to be more “annoyed” by the baby, and makes “urg” noises and almost rolls his eyes if the baby makes any noise at all (even if he’s not crying, just gurgling etc). Luckily my 2nd born is a very chill baby and is happy to be put down in his moses basket, so it’s not even like I’m holding him all the time. We’re doing all the normal things, such as making sure me and my husband both have 1-1 time with him, asking if he wants to help etc. We actively don’t tell him to be quiet or change his behaviour, or stop an activity because the baby needs something etc. He doesn’t seem to be jealous, more just annoyed at his general presence (mainly if he makes any noise) I know it’s such a big change for him, and I do think that time is going to be the only thing to make a difference. Im not pushing anything on him and just do things on his terms. Just wondering if anyone else has been in a similar situation and has a positive outcome now, or any advice that I might not have thought of already.