@Tattandthis (((hugs))) and keep telling yourself, you are not responsible for choices she makes, as the relationship is over you need to step away and not engage, that will be very difficult esp if under the same roof.
Explain to her when the team visit, that the relationship is not viable and that you are separated and that you wish her well.
Otherwise, if a team has anyone to default to as a "carer" they will. As not partners anymore I would advise you to state you will not be responsible for her and keeping her safe, she has to be accountable for her decisions and depending on housing situation, 1 of you may need to make a move longer term
You are not available to be her support system.
If she is still threatening suicide and trying to engage you with her, keep telling her she is responsible for herself, her choices and actions. you do not feature in these and conversation over. Keep repeating.
If she threatens suicide, pick up the phone and ring either crisis or 999. She is not your responsibility.
You need to take time and care for yourself at this point, when she tries to engage you, step away, have a bath/shower, walk, don't engage as will give false hope, you need to take care of yourself,
Much love.