Hello and welcome to BW!
Given that she is really quite little, we often just suggest you follow a basic EAS pattern and don't worry too much about the details
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1. I would offer if she is awake and it has been 3 hrs. If she is sleeping, leave her be. She will wake if she is hungry.
2. I would play with her until the next feed time, unless she is showing hunger signs sooner - then go ahead and feed. When they are this little, feeding on demand is important too.
3. I did exactly what you are doing at night... no clustering, no dreamfeed. I fed her and put her to bed, fed when she woke. Don't worry about feeding to sleep during the night as much as during the day... no way would I attempt to rouse in the middle of the night! You might wake her up enough to want to play
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Sleeping through the night is a developmental thing, not something to be forced. It's common for a baby to have a feed then bedtime, the a DF plus up to 2 night feeds before waking for the day until 3-4 months of age, then many drop to one night feed (and keep a DF), going down to just the DF around 6 months... She is doing great now!
Congrats on the new wee person
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Follow those instincts and keep BW on your mind and you will do just fine. Many moms find that BW really falls into place well around 3 months of age.