What is the meaning of the angels' saying "nuqaddisu lak"?

Imām Ibn al-Jawzī (d. 597/1201) summarized the scholars' opinions in his book "Zād al-Masīr" as follows:

1. It means: we keep ourselves pure from those kinds of actions (i.e. corruption and bloodshed) for Your sake. [Ibn ʿAbbās]
2. It means: we glorify and exalt you (taʿẓīm and takbīr). [Mujāhid]
3. It means: we offer prayer (ṣalāh) to you. [Qatādah]