I am trying to figure out a regex. That includes all characters after it but if another patterns occurs it does not overlap

This is my current regex 

```regex
[a-zA-Z]{2}\d{1}\s?\w?

```

The pattern is always 2 letter followed by a number like `AE1` or `BE3` but I need all the characters following the pattern. 

So `AE1 A E F` but if another pattern occurs in the string like 
`AE1 A D BE1 A D C` it cannot overlap with and be two separate matches.

So to clarify 
`AB3 D T B` should be one match on the regex

`ABC D A F DE3 D CD A`
should have 2 matches with all the char following it because of the the two letter word and number.
How do I achieve this