Is Kari Lake coming on too strongly? Kari Lake’s oh-so-unsubtle efforts to audition as Donald Trump’s 2024 running mate may be backfiring. Sure, she came in first for VP in CPAC’s straw poll this year. But the failed Arizona gubernatorial candidate and championship election-denier seems not to know to avoid upstaging The Donald. Lake has spent more time at Mar-a-Lago than Melania Trump lately, a source told People, in “a suite there that she practically lives in.” The Daily Beast reports that Lake is falling out of Trump’s favor: “She’s a shameless, ruthless demagogue who wants power and will do whatever she has to do to get it,” a Trump adviser told The Daily Beast. This adviser added that, in recent months, Trump has been less enthusiastic about Lake himself. Two Trump advisers who spoke to The Daily Beast said the heart of Trump’s frustration with Lake is that, in his eyes, she always wants attention. As one of the advisers put it, she’s a “spotlight hound.” People called Bill Clinton “the Big Dog.” But nobody had better stand between Trump and center stage. He’s the biggest spotlight hound in any room. “I don’t think President Trump needs a vice president,” she said. “He is that powerful as a leader, he doesn’t really need anyone.” Her over-the-top adoration aside, Trump has continued to publicly support Lake. Trump apparently doesn’t ding her too much for her loss in the Arizona governor race, with one adviser saying Trump views Lake’s defeat as “similar” to…