When you obtain the golden MASK OF TORNARSUK, the "Gold Rush" achievement/trophy unlocks automatically. "Planned Economy" requires you to get the mask within 50 seconds of starting the level. So, if you want all pickups and both achievements, you'll have to play through the first area twice. I recommend making a fresh save at the start of the level (or at the end of the previous level). Play through slowly to get all pickups. When you reach the blue cavern with the MASK, save in a new slot.
Then reload your earlier save and race to the mask, ignoring all enemies and pickups along the way. Once you have the mask, and both achievements/trophies, reload your all-pickups save and continue from there. If you don't have a convenient save, restart the level (i.e., kill Lara, press Action/Enter to open the Passport menu, page to the right, then choose "Restart Level").
Here's the sequence for reaching the MASK within 50 seconds. It's also shown in this short video.

When the level loads, light a flare as you slide/fall down the sloping ledges to the floor. (Again, ignore all pickups.)

As soon as Lara hits the floor near the 2 skeletons, roll...

...and take running jumps forward along the middle of the corridor, where the ceiling is a little higher.

Continue the smooth series of running jumps across the breakaway tiles.

As you approach the far side of the tiles, veer slightly left and try to take off from the far left tile, so Lara lands on the floor beyond the short slope, and you don't waste time sliding.

Run/jump into the passageway on the left, ignoring the rats and staying ahead of the encroaching spiked wall.

Continue taking running jumps along the corridor to cover ground faster.

About three-quarters of the way along, locate the movable cage set into the left wall.

Push it twice, suffering a few rat bites in the process. (Don't worry. Lara has had all her jabs.)

Turn right...

...and take running jumps up the sloping passageway, veering slightly right as you enter the blue cavern.

Take running jumps up the slope between the tall columns.

Then run forward without jumping along the carved stone path toward the pedestal with the MASK. When you reach the point where the path begins to slope slightly downward, jump and hold Action...

...to land directly on top of the MASK and pick it up. (The wolves will try to help.)

If you've made it in time, "Planned Economy" will pop. Now, reload your all-pickups save and continue.
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