Compute power for transcoding & homelab

[jerkrl 4]

Hi there and thanks for any help in my search. 

I'm looking to expand the compute power in my setup. Currently I'm running an Synology DS720+ for file storage, backups etc. 
Lately that has evolved in also deploying some dockers: Immich,  Joplin, Emby and the “arr - stack”. The DS720+ can handle that quite easily, except for transcoding more than 1 stream at the time. And that's where my search originates. 

I expect to deploy more services (like Headscale, Nginx, maybe Adguard) in the next year, yet I don't expect those to be very compute heavy. 

At the moment, the main reason to look for more compute power is to be able to transcode 3-5 streams simultaneously. 

I intend to keep my storage on my Synology, and I'm looking to have a separate homelab server for the mentioned services. 
Also, I intend to buy a solution for the next 3-4 years of use. 
I will run a Linux distro, maybe on proxmox. 

Looking at 2nd hand sales, I'm considering two options: SFF/ mini PC or a laptop with dedicated GPU

These two are for sale right now in my area: 

- Beelink SEi13 Pro mini-pc
Intel Core i9-13900HK (14 cores, 5,4 GHz), 32 GB LPDDR5, 1 TB NVMe SSD

- Lenovo Legion 5
AMD Ryzen 7 5800H, NVIDIA RTX 3070 (8GB), 16GB RAM, 1TB SSD, 16” QHD+ (2560×1600) 165Hz screen

The laptop has a screen and battery (so sort of a UPS) and the main reason to consider: dedicated GPU. 

The Beelink sips power and has 32GB ram already installed. 

I expect the Lenovo to initially cost about €50-100 more than the Beelink. 
Also, I expect to Beelink to have lower power cost of about €20/yr
 
Is this overkill for 3-5 simultaneous transcodes? 

What would you do/recommend?