algorithm

function shuffleArray(array) {
  for (let i = array.length - 1; i > 0; i--) {
    const j = Math.floor(Math.random() * (i + 1))
    ;[array[i], array[j]] = [array[j], array[i]]
  }
}

function areSameClub(team1, team2) {
  return team1.club === team2.club
}

function hasThreeTeamsFromSameProvince(group, province) {
  const provinceCount = group.filter(team => team.province === province).length
  return provinceCount >= 3
}

function isGroupFull(group) {
  return group.length >= 4
}

// Main algorithm
function distributeTeams(seedTeams, otherTeams) {
  const groups = {
    A: [],
    B: [],
    C: [],
    D: []
  }

  // Shuffle seedTeams
  shuffleArray(seedTeams)

  // Assign seed teams to groups
  seedTeams.forEach((seedTeam, index) => {
    const group = Object.keys(groups)[index]
    groups[group].push(seedTeam)
  })

  // Shuffle otherTeams
  shuffleArray(otherTeams)

  // As long as otherTeams is not empty, push the team to each group based on the conditions
  while (otherTeams.length > 0) {
    // Get the current last team from otherTeams and remove it from otherTeams
    const currentTeam = otherTeams.pop()

    // Find a group that satisfies 3 conditions, if all satisfied, push currentTeam to that group
    for (const group in groups) {
      const province = currentTeam.province

      if (
        groups[group].every(team => !areSameClub(currentTeam, team)) &&
        !hasThreeTeamsFromSameProvince(groups[group], province) &&
        !isGroupFull(groups[group])
      ) {
        groups[group].push(currentTeam)
        break
      }
    }
  }

  return groups
}

// ----------- Example ---------------

const seedTeams = [
  { name: 'Stechco1', province: 'Quebec', club: 'Stechco' },
  { name: 'VietUnitedFC', province: 'BC', club: 'VietUnitedFC' },
  { name: 'CICC', province: 'Ontario', club: 'CICC' },
  { name: 'CalgaryVFC', province: 'Alberta', club: 'CalgaryVFC' }
]

const otherTeams = [
  { name: 'CTC', province: 'Ontario', club: 'CTC' },
  { name: 'FCKingston', province: 'Ontario', club: 'FCKingston' },
  { name: 'KWFC', province: 'Ontario', club: 'KWFC' },
  { name: 'BFC', province: 'Ontario', club: 'BFC' },
  { name: 'YGOfVN', province: 'Ontario', club: 'YGOfVN' },
  { name: 'FCAE', province: 'Ontario', club: 'FCAE' },
  { name: 'LankFC', province: 'Ontario', club: 'LankFC' },
  { name: 'SFC', province: 'Quebec', club: 'SFC' },
  { name: 'VMU', province: 'Quebec', club: 'VMU' },
  { name: 'Stechco2', province: 'Quebec', club: 'Stechco' },
  { name: 'FC3Mien', province: 'Quebec', club: 'FC3Mien' },
  { name: 'RBJunior', province: 'Quebec', club: 'RBJunior' }
]

const result = distributeTeams(seedTeams, otherTeams)
console.log(result)