I might be wrong, but China IMO has presently no interest towards a military global alliance and spend trillions like the USA to maintain such an alliance.
But okay, who knows what might be in 30 years or so.
BRICS as you know is an economic forum and I guess that is what it is going to stay as, with more members likely to join in the coming years.
The rising "military"-political tool is the SCO. China is a founding member of the military, anti-terrorism cooperation (not alliance), (Shanghai Group) which includes Russia, Pakistan, India and several former Soviet Republics, - which shows that the attention is primarily focused towards the immediate neighborhood of China, Russia and towards the Middle-East.
The Shanghai Cooperation Organization (SCO) is an intergovernmental organization founded in Shanghai on 15 June 2001. The SCO currently comprises eight Member States (China, India, Kazakhstan, Kyrgyzstan, Russia, Pakistan, Tajikistan and Uzbekistan), four Observer States interested in acceding to full membership (Afghanistan, Belarus, Iran, and Mongolia) and six “Dialogue Partners” (Armenia, Azerbaijan, Cambodia, Nepal, Sri Lanka and Turkey). In 2021, the decision was made to start the accession process of Iran to the SCO as a full member, and Egypt, Qatar as well as Saudi Arabia became dialogue partners.
India will be very interesting to watch, since it does not lean towards the West. The USA has once again deserted Pakistan and the latter now relies almost entirely onto China. All three are entangled primarily in territorial or rather border issues with each other - if all three are willing to cooperate in this matter (there are strong indications for this) another huge area and population would be pacified.
Finland IMO, and off course Sweden are a huge gain for NATO, ahh.... USA.
1st. they got loads of $$ to spend on additional US military hardware.
2nd. unlike especially Germany, or e.g. Spain, Italy, etc - these two countries factually really do have "Armed" Forces.