Write a function named text$\_$analysis that accepts two strings as arguments. The function should perform multiple operations to analyze the words in the texts. Here's what it should do:

Convert each string into a set of lowercase words. Assume words are separated by spaces, and punctuations are not considered part of a word.

Calculate and return a dictionary containing the following keys:

'union': the union of the two sets $($all unique words in both texts$).$

'intersection': the intersection of the two sets $($words common to both texts$).$

'difference$1\text{'}$: the difference between the first and second set $($words in the first text but not in the second$).$

'difference$2\text{'}$: the difference between the second and first set $($words in the second text but not in the first$).$

'symmetric$\_$difference': the symmetric difference between the two sets $($words in either of the texts but not in both$).$

Each set should be a key in the returned dictionary, with the corresponding set of words as its value.