Filter pandas dataframe, row value must be higher than an offset max value of the column, per customer

I have a dataframe of orders containing Customer ID, Order ID, Revenue and Order Date Like so:

And so forth. I am trying to copy this dataframe but only keeping each row where a given customers order date, is between the latest order date and three months prior to it. I.e. the condition is variable for each row.

I've tried something like this

df_filtered = df.loc[df['Order Date']>=(df.max(['Date Order']- DateOffset(months=3)))]

But get the error "TypeError: unsupported operand type(s) for -: 'list' and 'DateOffset'"

I've also tried to create a separate dataframe where I've grouped by Customer ID and calculated the date 3 months prior to latest purchase.

Like this:

With the intention to do something like this:

df_filtered = df.loc[df['Order Date']>=df_list['last_purchase_3M'] & df['Customer ID'] == df_list['Customer ID']]

But this gives me this error "TypeError: unsupported operand type(s) for &: 'int' and 'str'".

I clearly don't know what I am doing here (also I'm new to this;))

Am I on the right track or is this completely wrong?