Sitting on $250K in HYSA. Nervous about putting in the market right now.

43M. Married. 1 newborn. I sold my house in U.S. early this year and decided to commit to my job overseas longer term. I put the equity from the house, now grown to \~ $250 in a HYSA at around 3.5% APY. The rest of my finances are as follows:

$110K Annual Salary
$236K 401K
$90K Rollover IRA
$0 Roth (New)
$256 Investment Acc. Various Mutual Funds
$150K Apt Overseas almost paid off with no interest on monthly installments (Muslim Country)

Will definitely max out on a new Roth, but I’m torn whether to keep it all in HYSA until later point or incrementally dump about $150 into my investment account across various mutual funds and keep $100 in HYSA. Just not sure what’s the right move here. Thoughts ?