This demo uses imperative chart updates. The generated code is a faithful Angular translation: open it in CodeSandbox to run and tweak.

import { Component, AfterViewInit, OnDestroy, ViewChild } from '@angular/core';
import {
  ChartComponent,
  ApexAxisChartSeries,
  ApexNonAxisChartSeries,
  ApexChart,
  ApexXAxis,
  ApexYAxis,
  ApexTitleSubtitle,
  ApexDataLabels,
  ApexStroke,
  ApexFill,
  ApexLegend,
  ApexTooltip,
  ApexMarkers,
  ApexPlotOptions,
  ApexResponsive,
  ApexGrid,
  ApexAnnotations,
  ApexStates,
  ApexTheme,
  NgApexchartsModule,
} from 'ng-apexcharts';

export type ChartOptions = {
  series?: ApexAxisChartSeries | ApexNonAxisChartSeries;
  chart?: ApexChart;
  xaxis?: ApexXAxis;
  yaxis?: ApexYAxis | ApexYAxis[];
  title?: ApexTitleSubtitle;
  subtitle?: ApexTitleSubtitle;
  dataLabels?: ApexDataLabels;
  stroke?: ApexStroke;
  fill?: ApexFill;
  legend?: ApexLegend;
  tooltip?: ApexTooltip;
  markers?: ApexMarkers;
  plotOptions?: ApexPlotOptions;
  responsive?: ApexResponsive[];
  grid?: ApexGrid;
  annotations?: ApexAnnotations;
  states?: ApexStates;
  theme?: ApexTheme;
  colors?: string[];
  labels?: any;
};

@Component({
  selector: 'app-chart',
  standalone: true,
  imports: [NgApexchartsModule],
  templateUrl: './chart.component.html',
})
export class AppChart implements AfterViewInit, OnDestroy {
  @ViewChild('chart') chart!: ChartComponent;
  private mulberry32 = (seed: any): any => {
        return function () {
          seed |= 0
          seed = (seed + 0x6d2b79f5) | 0
          var t = Math.imul(seed ^ (seed >>> 15), 1 | seed)
          t = (t + Math.imul(t ^ (t >>> 7), 61 | t)) ^ t
          return ((t ^ (t >>> 14)) >>> 0) / 4294967296
        }
      };

  private DEPTS: any = [
        { name: 'Engineering', base: 610 },
        { name: 'Sales', base: 380 },
        { name: 'Support', base: 290 },
        { name: 'Marketing', base: 170 },
      ];

  private QUARTERS: any = ['Q1', 'Q2', 'Q3', 'Q4'];

  private monthlyHours = (seed: any, base: any): any => {
        var rand = this.mulberry32(seed)
        var out = []
        for (var m = 0; m < 3; m++) {
          out.push({
            x: 'M' + (m + 1),
            y: Math.round(base * (0.85 + rand() * 0.3)),
          })
        }
        return out
      };

  private deptSeries: any = [];

  public chartOptions: Partial<ChartOptions> = {
          series: this.deptSeries,
          chart: {
            id: 'deptQuarterTrellis',
            type: 'bar',
            height: 560,
            animations: {
              enabled: false,
            },
          },
          trellis: {
            row: 'dept',
            column: 'quarter',
            gap: 12,
          },
          colors: ['#2563EB'],
          plotOptions: {
            bar: {
              columnWidth: '55%',
              borderRadius: 3,
            },
          },
          xaxis: {
            type: 'category',
          },
          yaxis: {
            labels: {
              formatter: (val) => {
                return Math.round(val) + 'h'
              },
            },
          },
          dataLabels: {
            enabled: false,
          },
        };
  ngAfterViewInit() {
    (window as any).ApexCharts.setLicense('APEX-eyJleHBpcnlEYXRlIjoiMjEyNi0wNy0wNCIsImlzc3VlRGF0ZSI6IjIwMjYtMDctMjgiLCJwbGFuIjoicHJlbWl1bSIsImRvbWFpbnMiOlsiYXBleGNoYXJ0cy5jb20iLCIxMjcuMC4wLjEiLCJsb2NhbGhvc3QiXSwic2lnIjoieVBmb1VCc0Z3TU9ZdUEyaEZkR0I2Y1FtZ0JITUtXcVdJSjB2NVRESXRZbFR3eDJMUmh6R2x0RUc3VXJ4X0s3b25ZMWRZb2Z2VGItN01ydFYyNDVyOWcifQ==');
    this.DEPTS.forEach(function (d, di) {
          this.QUARTERS.forEach(function (q, qi) {
            if (d.name === 'Marketing' && q === 'Q1') return // formed in Q2
            this.deptSeries.push({
              name: 'Hours',
              dept: d.name,
              quarter: q,
              data: this.monthlyHours(di * 17 + qi * 5 + 3, d.base),
            })
          })
        })
  }

  ngOnDestroy() {
    // no cleanup needed
  }
}