If you are measuring the AC input current, your clamp meter will work better with a 10X line splitter for small currents. Even better would be a P3 Kill-A-Watt. You'd start by plugging in just the power brick to see what its quiescent draw is, then plugging in the laptop to see how much the draw goes up, if any.
If you want a closer look at the DC power that the laptop is using, I think a multi-connector breakout box of some type is the way to go, not using a separate PSU. With a BOB, you can look at both the performance of the power brick as well as the current draw of the laptop itself. The EEVBlog 121GW with its unique power measuring would be a handy way to check voltage, current and power all at once, although you can also buy gadgets on Aliexpress that sort of do the same thing. Another worry with a bench PSU is that a mistake could fry something pretty easily.