"She isn't talking about dating and is instead focused on work and herself," a source tells PEOPLE

Ariana Grande and Pete Davidson 'Have No Contact Now' as She 'Keeps Moving Forward': Source

Ariana Grande and Pete Davidson are not staying in touch weeks after ending their engagement in October.

“They have no contact now and she keeps moving forward,” a source tells PEOPLE about the “God Is a Woman” singer, 25, and the Saturday Night Live comedian, 24.

Get push notifications with news, features and more.

“She seems very happy and positive. She isn’t talking about dating and is instead focused on work and herself,” the source continues.

With a chorus that declares that Grande is “so f—ing grateful for my ex,” the song — which the pop star said shares a title with her upcoming album — offers a self-empowerment mantra: “Plus I met someone else / We havin’ better discussions / I know they say I move on too fast / But this one gon’ last / ‘Cause her name is Ari / And I’m so good with that.”

Image zoom Paul Zimmerman/WireImage

That same night, Davidson offered kind words about Grande during SNL‘s Weekend Update.

“The last thing I will say is I know some of you are curious about the breakup, but the truth is it’s nobody’s business, and sometimes things just don’t work out, and that’s okay,” he said. “She’s a wonderful, strong person, and I genuinely wish her all the happiness in the world.”

RELATED VIDEO: Frankie Grande Says Sister Ariana Is ‘Doing Well’ & ‘Working Really Hard’ After Ending Engagement

In an SNL teaser on Thursday, Davidson poked fun at his former engagement. “Hey Maggie, I’m Pete. You wanna get married?” Davidson asked musical guest Maggie Rogers. After Rogers turned him down, Davidson quipped that he was “0-3.”

Grande seemingly fired back at Davidson in since-deleted tweets hours later. “For somebody who claims to hate relevancy u sure love clinging to it huh,” she said.

Image zoom Pete Davidson and Ariana Grande Pete Davidson/Instagram

“Pete’s unfazed,” a source told PEOPLE. “It’s true they’re not in agreement about things after the breakup. A lot of people thought he was the wild card in the relationship, but that’s not true. Pete has and will always joke about his life, with or without her.”

PEOPLE confirmed that Grande and Davidson were dating in May, shortly after Grande and Miller went their separate ways and Davidson and Cazzie David broke up, and were engaged in June.