I agree with much of Karadjgne's post above, but have a couple of different thoughts. It IS important to have something monitor the SPEED signal of the PUMP for possible failure. It IS important for most AIO systems (including OP's H60 system) that the PUMP be fed a constant 12 VDC power supply to run full speed all the time. It IS important that the RAD FAN speed be controlled according to the temperature sensor inside the CPU chip, and NOT by the sensor on the mobo.
Given those considerations, there is another way to make connections that will meet all these needs. Use a simple 4-pin SPLITTER. That device is simple with one "arm" with a FEMALE connector to plug into the mobo CPU_FAN header, and two or more "arms" with MALE connectors to plug in your fans and pump. NOTE that it does NOT have a third "arm" that MUST plug into a SATA power output connector from the PSU. A HUB is a different device that DOES have that third arm, and is NOT needed here. There are some Splitters that look like several cable arms, some that look like small circuit boards, and some like boxes with output sockets recessed in holes. ALL of these SPLITTERS do NOT have the means to connect to a PSU power source. Examples
https://www.amazon.com/Splitter-Computer-Extension-Converter-TeamProfitcom/dp/B07F8LV1BY/ref=sr_1_1?crid=31ZG0Y47TXZIM&keywords=fan+splitter+4+pin&qid=1681147890&sprefix=fan+spplitter,aps,120&sr=8-1
https://www.amazon.com/Splitter-Internal-Motherboard-Extension-Computer/dp/B0992G423X/ref=sr_1_18_sspa?crid=31ZG0Y47TXZIM&keywords=fan+splitter+4+pin&qid=1681147964&sprefix=fan+spplitter,aps,120&sr=8-18-spons&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUExWDJNUU9NTUE3UjJIJmVuY3J5cHRlZElkPUEwMDY3MTM0MTBDREpPQ1gxVjBLSyZlbmNyeXB0ZWRBZElkPUEwOTM4ODAwVDFPV05TNk5HQzRSJndpZGdldE5hbWU9c3BfYnRmJmFjdGlvbj1jbGlja1JlZGlyZWN0JmRvTm90TG9nQ2xpY2s9dHJ1ZQ&th=1
https://www.amazon.com/SilverStone-System-Cables-Black-CPF04/dp/B00VNW556I/ref=sr_1_5?crid=1V4NY1FGWG588&keywords=fan+hub+4+pin&qid=1681148020&sprefix=fan+hub+4+pin,aps,106&sr=8-5
Any Splitter will return to its host header the speed signal from only ONE of its fans. On a Splitter with just cable "arms", there is only ONE output with all 4 pins - the others will be missing Pin #3. On a circuit board style, one port will be labelled for the CPU fan typically, but you do NOT have to use it for the fan on the CPU chip. On a closed box, one port will be marked.
To use a Splitter in an AIO system, you plug the Splitter into the CPU_FAN header, then the PUMP cable into the only output that DOES send its speed back to that header. Then you plug the RAD FANS into the other Splitter outputs.This does three things:
(a) provides power to the pump and fans;
(b) monitors the PUMP speed for failure;
(c) controls the FAN speeds according to the temperature sensor INSIDE the CPU chip.
By far most AIO pumps are wired just like a 3-pin old-style Voltage Controlled fan. Because of the designs of the two fan types, doing that for such a fan means the fan will always operate at full speed IF the host header is using the new 4-pin PWM Mode of control signals. That is exactly what most PUMPS need - constant full speed. BUT if the RAD FANS plugged into that same Splitter are the new 4-pin type (which most are), they WILL receive the proper PWM signal and their speeds WILL be controlled by the header.
NOTE that doing this REQUIRES that the CPU_FAN header be configured properly - in particular for the MODE options. It MUST be set to PWM Mode so that PWM signal is sent out to the fans, while the PUMP (because of its 3-pin connection) does not receive that signal and cannot use it, so it has NO effect on the pump. If you set the option to AUTO, at every start-up the header will test speed signal of the item connected to it (the PUMP) and discover that it is an older device requiring VOLTAGE Control Mode to control its speed, and will set itself that way. From then on the PUMP speed WILL be reduced at lower tempertures, just as the fan speeds are. That is NOT what is required.
There IS one feature missing when you do this. Because the CPU_FAN header receives the speed from only ONE device - the PUMP - it CAN and will monitor that unit for failure. BUT it cannot monitor the speed signals for the RAD FANS for failure. So the USER should check those fans from time to time to be sure they all still are operating. With an AIO system, failure of the PUMP is very dangerous because there is NO CPU cooling, whereas failure of the RAD FAN (often there are more than one) means a slower possible CPU temperature rise which WILL be detected by a different system to prompt warnings and corrective actions.
OP, your system has one small difference from this generalized plan. Its PUMP does not get its power from the CPU_FAN header. That comes directly to the PUMP only by its separate SATA power connector. But it still is vital that the PUMP speed be connected to the CPU_FAN header for failure monitoring. PLUS the RAD FANS need to be controlled according to the temperature sensor inside the CPU chip, and that is the ONLY way a CPU-FAN header operates. Connecting both pump and fans to the CPU_FAN header via a Splitter using the correct output connectors and with the proper MODE setting will accomplish all of this.