Oh yes that’s super early. My two were 4 and 6 when placed and I really remember my shock at realising they really did need to be next to me all the time. I had thought I could leave them for 2 minutes to load the dishwasher or washing machine but it wasn’t to be for a good while.
I think too the move from being your own person, working and doing your own thing to having someone omnipresent is a very hard adjustment, especially if like mine your little one is touchy feely. You also don’t have school to give a bit of routine and respite. Things that helped was having a routine for the day - pictures on a white board to show the schedule eg morning park, lunch, afternoon swimming, dinner, bath time or whatever. I found swimming was great for physical contact in an activity based place, water is also good for self regulation so win-win. Don’t spend ages setting up craft activities etc - your little one will be entertained for all of 5 minutes for the thing that took 20 minutes to set up and clear up. We did really simple things like chalk on the driveway, water paints etc.
Use the tv for downtime. We had a different Disney movie every day for a month, we all needed the non-intense time together and it gives you a reason to sit on your bum.
Dont stress about housework - do the essentials, and really think about what is now essential. When your child is in bed use the time for you - do not start cleaning and laundry etc. Stop, get a book, a glass of wine, your partner if you have one and take time for yourself. If you have a partner tag team each other or if you have a close friend or relative have them come over for a chat. I know, I know funnelling but I also know my mental health needed someone to be with who reminded me of who I was before I was a mum. A coffee after bedtime won’t hurt anyone, a meet up at the park with another adult will do you the world of good.
You will hit your stride, at the moment you’re coping with huge life changes, trying to get to know a small dependant child who is absolutely terrified, while learning to parent them. Give yourself some grace while you find your feet.